Axially symmetric B=2 solution in the chiral quark soliton model

dc.creatorSawado, N.
dc.creatorOryu, S.
dc.date2002-11-26
dc.date.accessioned2026-07-07T11:09:18Z
dc.date.available2026-07-07T11:09:18Z
dc.descriptionThe baryon-number-two (B=2) solution based on the SU(2) chiral quark soliton model ($χ$QSM) is solved numerically, including fully the sea quark degrees of freedom. We confirm that the axially symmetric meson configurations yield the energy minimum for the B=2 state in the $χ$QSM when taking into account quark dynamics. Due to the axially symmetric meson fields, six valence quarks occupy the lowest energy level, consistent with the Pauli exclusion principle. The minimal-energy of the entire system is obtained within the framework of a symmetric ansatz. The fermion determinant with axially symmetric meson fields is calculated by diagonalizing the corresponding Dirac hamiltonian in a non-perterbative way, using a cylindrical Dirac basis. The baryon number density, calculated with quark fields corresponding to a soliton, is toroidal in shape. We also calculate the mean radius of the toroid from the quark fields. These results are closely related to Skyrme model calculations based upon pion degrees of freedom. Our model calculations clarify the underlying dynamical structure of the baryons at the quark level.
dc.description6 pages, revtex4, 5 figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0211399
dc.identifierhttp://arxiv.org/abs/hep-ph/0211399
dc.identifierPhys.Rev.C58:3046,1998
dc.identifierdoi:10.1103/PhysRevC.58.3046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190418
dc.subjectHigh Energy Physics - Phenomenology
dc.titleAxially symmetric B=2 solution in the chiral quark soliton model
dc.typetext

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